{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introduction to atomman: Semidiscrete variational Peierls-Nabarro model\n",
    "\n",
    "__Lucas M. Hale__, [lucas.hale@nist.gov](mailto:lucas.hale@nist.gov?Subject=ipr-demo), _Materials Science and Engineering Division, NIST_.\n",
    "    \n",
    "[Disclaimers](http://www.nist.gov/public_affairs/disclaimer.cfm) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Introduction<a id='section1'></a>\n",
    "\n",
    "This Notebook outlines how to calculate semidiscrete variational Peierls-Nabarro models of dislocation disregistries.  This calculation method gives a prediction for a dislocation structure using only the material's elastic constants and the generalized stacking fault energy map associated with the dislocation's slip plane. \n",
    "\n",
    "**NOTE:** the calculation process is complex and may be refined over time resulting in changes to the involved functions and classes.  For this reason, be aware of the atomman version used."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Library Imports**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "atomman version = 1.4.0\n",
      "Notebook executed on 2021-08-05\n"
     ]
    }
   ],
   "source": [
    "# Standard Python libraries\n",
    "from pathlib import Path\n",
    "import datetime\n",
    "\n",
    "# http://www.numpy.org/\n",
    "import numpy as np\n",
    "\n",
    "# https://github.com/usnistgov/atomman\n",
    "import atomman as am\n",
    "import atomman.unitconvert as uc\n",
    "\n",
    "# https://matplotlib.org/\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "# Show atomman version\n",
    "print('atomman version =', am.__version__)\n",
    "\n",
    "# Show date of Notebook execution\n",
    "print('Notebook executed on', datetime.date.today())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Theory<a id='section2'></a>\n",
    "\n",
    "The equations and calculations used are based on the original semidiscrete variational Peierls-Nabarro by Bulatov, et. al [[1][1], [2][2], [3][3]], as well as additional and alternate terms [[4][4], [5][5], [6][6], [7][7], [8][8]]. The discussion here is very brief and it is left to the reader to see the referenced papers for more details.\n",
    " \n",
    "### 2.1. Disregistry and dislocation density\n",
    "\n",
    "The disregistry of a dislocation, $\\delta_i$, is defined as the difference in the displacement just above and below the slip plane taken as a function of the coordinate $\\xi$ that is along the slip plane and perpendicular to the dislocation line.\n",
    "\n",
    "$$ \\delta_i(\\xi) = u_i^+(\\xi) - u_i^-(\\xi) $$\n",
    "\n",
    "A dislocation density, $\\rho_i$, is also defined that can be thought of as the infinitesimal Burgers vector of the dislocation at any specific $\\xi$ point, and is related to $\\delta_i$ as\n",
    "\n",
    "$$ \\rho_i(\\xi) = \\frac{d \\delta_i(\\xi)}{d \\xi} $$\n",
    "\n",
    "For a slip plane containing a single dislocation in an otherwise infinite medium, $\\delta_i$ and $\\rho_i$ can be related to the dislocation's Burgers vector, $b_i$\n",
    "\n",
    "$$ \\delta_i(\\infty) - \\delta_i(-\\infty) = b_i $$\n",
    "\n",
    "$$ \\int_{-\\infty}^{+\\infty}{\\rho_i(\\xi) d\\xi} = b_i $$\n",
    "\n",
    "### 2.2.  Semidiscrete variational Peierls-Nabarro model\n",
    "\n",
    "The semidiscrete variational Peierls-Nabarro (SDVPN) model expresses the energy of a dislocation as a summation of different energy terms, each of which is a function of $\\delta_i$.  Here, the general dislocation energy equation is\n",
    "\n",
    "$$ U_{dislocation} = U_{elastic} + U_{misfit} + U_{stress} + U_{surface} + U_{nonlocal} $$\n",
    "\n",
    "Each of the energy terms is expressed with a discrete formulation that assumes the disregistry is a step function evaluated at certain points and constant in between. The disregistry is evaluated at regular intervals, with $\\Delta \\xi$ typically corresponding to a spacing of atomic columns along the $\\xi$ direction giving the calculation a discreteness corresponding to an actual atomic discreteness.  The SDVPN model then solves for the disregistry at the evaluated $\\xi$ points that minimizes the dislocation's energy.\n",
    "\n",
    "### 2.3. Elastic energy\n",
    "\n",
    "The elastic energy is due to the elastic energy of the dislocation.  It contains two components: a configuration-dependent part associated with the interaction of the dislocation at one position interacting with the dislocation at another point, and a configuration-independent part associated with the dislocation's long-range strain field. The elastic energy is expressed as\n",
    "\n",
    "$$ U_{elastic} = \\frac{1}{4\\pi} \\sum_i{\\left[ \\sum_j{\\left( \\chi(i, j, \\Delta \\xi) K_{lm} \\rho_l[i] \\rho_m[j] \\right)} \\right]} + \\frac{1}{4\\pi} K_{lm} b_l b_m \\ln{(L)}, $$\n",
    "\n",
    "where $i$ and $j$ are integer indexes of the $\\xi$ evaluation points, i.e. $\\xi[i+1] = \\xi[i] + \\Delta \\xi$, $K_{lm}$ is the dislocation's energy coefficient tensor, $L$ is a cutoff radius for the long-range configuration-independent elastic energy, and $\\chi$ is a multiplicative factor related to the distance between points $\\xi[i]$ and $\\xi[j]$ given by\n",
    "\n",
    "$$ \\chi(i,j,\\Delta \\xi) = \\frac{3}{2} \\Delta \\xi^2 + \\psi(i-1,j-1,\\Delta \\xi) + \\psi(i,j,\\Delta \\xi) - \\psi(i,j-1,\\Delta \\xi) - \\psi(j,i-1,\\Delta \\xi), $$\n",
    "\n",
    "$$ \\psi(i,j,\\Delta \\xi) = \\frac{1}{2} (i-j)^2 \\Delta \\xi^2 \\ln{(|i-j|\\Delta \\xi)}. $$\n",
    "\n",
    "The dislocation density, $\\rho_l$, is obtained from the discrete $\\delta_l$ as\n",
    "\n",
    "$$ \\rho_l[i] = \\frac{\\delta_l[i] - \\delta_l[i-1]}{\\Delta \\xi} $$\n",
    "\n",
    "**NOTE:** slightly different forms for $U_{elastic}$ are found in the references due to how the different authors define the energy coefficient tensor, $K_{lm}$.  Here, $K_{lm}$ is defined such that in the isotropic case $K_{33} = K_{screw} = \\mu$, and $K_{11} = K_{edge} = \\frac{\\mu}{1-\\nu}$ where $\\mu$ is the shear modulus and $\\nu$ is the Poisson's ratio.\n",
    "\n",
    "### 2.4. Misfit energy\n",
    "\n",
    "The misfit energy arises from the disregistry within the dislocation spreading coinciding with crystallographically unfavorable configurations.  This energy is calculated by mapping the dislocation's disregistry onto a generalized stacking fault energy map, i.e $\\gamma$ surface\n",
    "\n",
    "$$ U_{misfit} = \\sum_i \\gamma(\\delta_l[i]) \\Delta \\xi. $$\n",
    "\n",
    "### 2.5. Stress energy\n",
    "\n",
    "The stress energy computes the energy due to an externally applied stress, $\\tau_{ij}$, interacting with the dislocation line.  Two forms have been used in SDVPN models: the original full stress form\n",
    "\n",
    "$$ U_{stress} = -\\frac{1}{2} \\sum_i{ \\left[ \\left(\\xi[i]^2 - \\xi[i-1]^2 \\right) \\rho_l[i] \\tau_{2l} \\right]}, $$\n",
    "\n",
    "and a truncated form introduced by [[8][8]]\n",
    "\n",
    "$$ U_{stress} = -\\frac{1}{2} \\sum_i{ \\left[ \\tau_{2l} \\left(\\delta_l[i] + \\delta_l[i+1] \\right) \\Delta \\xi  \\right]}. $$\n",
    "\n",
    "The two should be equivalent except for a configuration-independent constant.\n",
    "\n",
    "### 2.6. Surface energy\n",
    "\n",
    "The surface energy is a correction term introduced by [[5][5]] to account for the surface effect along the slip plane.  The discrete gradient formulation by [[6][6]] is used by atomman\n",
    "\n",
    "$$ U_{surface} = \\sum_{j=1}^3 {\\frac{\\beta_{lj}}{4} \\sum_i {\\rho_l[i]^2 \\Delta \\xi }}$$\n",
    "\n",
    "where $\\beta_{lj}$ is a coefficient tensor. Terms in the coefficient tensor can be \n",
    "\n",
    "### 2.7. Nonlocal energy\n",
    "\n",
    "The nonlocal energy is an alternate correction term introduced by [[4][4]] to account for the nonlocal interactions directly. It is of the form\n",
    "\n",
    "$$ U_{nonlocal} = \\sum_m{ \\alpha_m \\sum_i{ \\delta_l[i] \\left(\\delta_l[i] - \\frac{\\delta_l[i+m] + \\delta_l[i-m]}{2} \\right) \\Delta \\xi }} $$\n",
    "\n",
    "where $\\alpha_m$ are correction coefficients corresponding to increasing separations between the evaluated $\\xi$ points.  Typically, only the first coefficient $\\alpha_1$ is used and it is fitted by minimizing the discrepancy between the SDVPN disregistry and a full atomistic disregistry.\n",
    "\n",
    "\n",
    " [1]: https://doi.org/10.1103/PhysRevLett.78.4221\n",
    " [2]: https://doi.org/10.1103/PhysRevB.62.3099\n",
    " [3]: https://doi.org/10.1080/09500830050143778\n",
    " [4]: https://doi.org/10.1016/S0022-5096(98)00057-X\n",
    " [5]: https://doi.org/10.1088/1751-8113/42/2/025208\n",
    " [6]: https://doi.org/10.1016/j.scriptamat.2016.04.013\n",
    " [7]: https://doi.org/10.1016/j.commatsci.2017.01.038\n",
    " [8]: https://doi.org/10.1016/j.scriptamat.2009.04.047"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Methodology overview <a id='section3'></a>\n",
    "\n",
    "Due to the complex nature of the calculation, this section provides a general overview of the steps involved in setting up and running the calculation shown in the remainder of the Notebook.\n",
    "\n",
    "1. $U_{elastic}$ requires the energy coefficient tensor, $K_{ij}$, which is related to a material's elastic constants and the orientation of the slip plane and elastic constants. \n",
    "    a. Isotropic $K_{ij}$ can be calculated using a material's shear modulus and Poisson's ratio: $K_{11} = K_{22} = \\frac{\\mu}{1-\\nu}$, $K_{33} = \\mu$, $K_{ij} = 0$ for $i \\ne j$.\n",
    "    b. Anisotropic $K_{ij}$ can be calculated using the Stroh method.\n",
    "2. A function for $\\gamma(\\delta_i)$ needs to be created. **NOTE:** Only 2D GSFs currently implemented.\n",
    "    a. Use an analytical function.\n",
    "    b. 2D GSF: Measure relaxed generalized stacking fault energies in two dimensions. Interpolate $\\gamma(\\delta_i)$ dependent on $\\delta_1$ and $\\delta_3$.\n",
    "    c. Pseudo 3D GSF: Measure relaxed generalized stacking fault energies in two dimensions and the associated relaxation perpendicular to the fault plane.  Interpolate $\\gamma(\\delta_i)$ and $\\delta_2$ dependent on $\\delta_1$ and $\\delta_3$.\n",
    "    d. 3D GSF: Measure unrelaxed generalized stacking fault energies in thre dimensions.  Interpolate $\\gamma(\\delta_i)$ dependent on $\\delta_1$, $\\delta_2$ and $\\delta_3$.\n",
    "3. Initial disregistry values need to be given for all of the $\\xi$ coordinates.\n",
    "    a. Use a step function such that $\\delta_i(\\xi < 0) = 0$ and $\\delta_i(\\xi > 0) = b_i$\n",
    "    b. Use an arctan function that smoothly varies from 0 to $b_i$.\n",
    "4. Solve the SDVPN model with $\\tau_{ij}$, $\\beta_{ij}$, and $\\alpha_m$ values all zero.\n",
    "5. (Optional) Starting with the SDVPN solution from #4, add either $\\beta_{ij}$ or $\\alpha_m$ correction constants and solve.\n",
    "6. (Optional) To obtain a prediction for the dislocation's Peierls barrier, incrementally increase $\\tau_{ij}$ and resolve the SDVPN model until the dislocation is observed to move."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Initialize SDVPN using GammaSurface and VolterraDislocation <a id='section4'></a>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.1. Load $\\gamma$ surface results\n",
    "\n",
    "The atomman.defect.GammaSurface class loads and represents generalized stacking fault data.\n",
    "\n",
    "See [4.5. Gamma surface plotting Notebook](4.5._Gamma_surface_plotting.html) for more details on this class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a1vect, a2vect used:\n",
      "[ 0.  -0.5  0.5]\n",
      "[ 0.5 -0.5  0. ]\n"
     ]
    }
   ],
   "source": [
    "# Load pre-calculated stacking fault energy data (same data as used in Gamma Surface Plotting Notebook)\n",
    "model = Path('files', '2008--Mendelev-M-I--Al--A1--Cu--fcc--111sf.json')\n",
    "gamma = am.defect.GammaSurface(model=model)\n",
    "\n",
    "box = gamma.box\n",
    "print('a1vect, a2vect used:')\n",
    "print(gamma.a1vect)\n",
    "print(gamma.a2vect)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot smallest cell"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 846x415.692 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = gamma.E_gsf_surface_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot common cell representation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 846x415.692 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plotting_a1vect = np.array([1, 1, -2]) / 2\n",
    "plotting_a2vect = np.array([1,-1, 0]) / 2\n",
    "fig = gamma.E_gsf_surface_plot(a1vect = plotting_a1vect, \n",
    "                               a2vect = plotting_a2vect)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.2. Get a Volterra dislocation solution\n",
    "\n",
    "The model uses Volterra solutions to compute the interaction stresses. A Volterra solution can easily be found using the solve_volterra_dislocation.\n",
    "\n",
    "See [4.4. Dislocation solution and generator Notebook](4.4._Dislocation_solution_and_generator.html) for more details on the solve_volterra_dislocation function.\n",
    "\n",
    "__Note__: The slip plane used here must match the slip plane of the gamma surface, otherwise SDVPN will not know how to relate the two!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cij in GPa:\n",
      "[[105.09  59.46  59.46   0.     0.     0.  ]\n",
      " [ 59.46 105.09  59.46   0.     0.     0.  ]\n",
      " [ 59.46  59.46 105.09   0.     0.     0.  ]\n",
      " [  0.     0.     0.    30.66   0.     0.  ]\n",
      " [  0.     0.     0.     0.    30.66   0.  ]\n",
      " [  0.     0.     0.     0.     0.    30.66]]\n"
     ]
    }
   ],
   "source": [
    "# Elastic constants for Al using the 2008--Mendelev-M-I--Al potential\n",
    "C11 = uc.set_in_units(105.09, 'GPa')\n",
    "C12 = uc.set_in_units( 59.46, 'GPa')\n",
    "C44 = uc.set_in_units( 30.66, 'GPa')\n",
    "C = am.ElasticConstants(C11=C11, C12=C12, C44=C44)\n",
    "print('Cij in GPa:')\n",
    "print(uc.get_in_units(C.Cij, 'GPa'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Miller Burgers vector\n",
    "burgers_uvw = 0.5 * np.array([1, 0, -1])\n",
    "\n",
    "# Miller slip plane\n",
    "slip_hkl = np.array([1, 1, 1])\n",
    "\n",
    "# The dislocation's line direction (ξ_uvw) determines character\n",
    "ξ_uvw = [ 1,-2, 1] # 90 degree edge\n",
    "\n",
    "volterra = am.defect.solve_volterra_dislocation(C, burgers_uvw, ξ_uvw=ξ_uvw, slip_hkl=slip_hkl, box=box)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4.3. Initializing an SDVPN object\n",
    "\n",
    "The Volterra dislocation solution and gamma surface provide all of the materials properties associated with the dislocation problem. During initialization, verification checks will be performed to make certain that the dislocation solution and gamma surface are compatible.\n",
    "\n",
    "There are many parameters that can be set during initialization.  The first three are the most important, and the remainder are associated with settings listed in the theory section above. All the settings parameters (tau and below) can also be changed later.\n",
    "\n",
    "Parameters\n",
    "\n",
    "\n",
    "- **volterra** (*atomman.defect.VolterraDislocation, optional*) The elastic solution for a Volterra dislocation to use as the basis of the model. Either volterra or model are required, and both cannot be given at the same time.\n",
    "- **gamma** (*atomman.defect.GammaSurface, optional*) The gamma surface to use for the solution.  Required unless model is given and the model content contains gamma surface data.\n",
    "- **model** (*str or DataModelDict, optional*) Saved data from previous SDVPN runs to load.  Either volterra or model are required, and both cannot be given at the same time.\n",
    "- **tau** (*numpy.ndarray, optional*) A (3,3) array giving the stress tensor to apply to the system using the stress energy term.  Only the xy, yy, and yz components are used.  Default value is all zeros.\n",
    "- **alpha** (*list of float, optional*) The alpha coefficient(s) used by the nonlocal energy term.  Default value is [0.0].\n",
    "- **beta** (*numpy.ndarray, optional*) The (3,3) array of beta coefficient(s) used by the gradient energy term.  Default value is all zeros.\n",
    "- **cutofflongrange** (*float, optional*) The cutoff distance to use for computing the long-range energy.  Default value is 1000 Angstroms.\n",
    "- **fullstress** (*bool, optional*) Flag indicating which stress energy algorithm to use.  Default value is True.\n",
    "- **cdiffelastic** (*bool, optional*) Flag indicating if the dislocation density for the elastic energy component is computed with central difference (True) or simply neighboring values (False).  Default value is False.\n",
    "- **cdiffsurface** (*bool, optional*) Flag indicating if the dislocation density for the surface energy component is computed with central difference (True) or simply neighboring values (False).  Default value is True.\n",
    "- **cdiffstress** (*bool, optional*) Flag indicating if the dislocation density for the stress energy component is computed with central difference (True) or simply neighboring values (False).  Only matters if fullstress is True.  Default value is False.\n",
    "- **min_method** (*str, optional*) The scipy.optimize.minimize method to use.  Default value is 'Powell', which seems to do well for this task.\n",
    "- **min_options** (*dict, optional*) Any options to pass on to scipy.optimize.minimize. Default value is {}."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Execution tips:** Tests seem to indicate that the 'Powell' minimization option works well for this problem.  For best results, use min_options to set xtol and ftol to smaller values and run the solver multiple times in a row (minimizer may get stuck)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "min_options = {}\n",
    "min_options['disp'] = True     # will display convergence info\n",
    "min_options['xtol'] = 1e-6     # smaller convergence tolerance than default\n",
    "min_options['ftol'] = 1e-6     # smaller convergence tolerance than default\n",
    "#min_options['maxiter'] = 2    # for testing purposes\n",
    "\n",
    "# Initialize SDVPN object from volterra and gamma\n",
    "pnsolution = am.defect.SDVPN(volterra=volterra, gamma=gamma, min_options=min_options)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Generate initial disregistry  <a id='section5'></a>\n",
    "\n",
    "Solving the SDVPN model requires starting with an initial guess of the disregistry. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.1 Initial disregistry"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**pn_arctan_disregistry()**\n",
    "\n",
    "The atomman.defect.pn_arctan_disregistry() function computes the classic Peierls-Nabarro arctan disregistry for an array of points x\n",
    "        \n",
    "$$ \\delta_i(x) = \\frac{b}{\\pi} \\arctan{ \\left( \\frac{x}{\\xi} \\right)} + \\frac{b_i}{2} $$\n",
    "\n",
    "where $\\xi$ is the dislocation's halfwidth and $b_i$ is the Burgers vector.\n",
    "\n",
    "Parameters\n",
    "    \n",
    "- **xmax** (*float or None, optional*) Maximum value of x to use.  Minimum value is taken as -xmax.  At least 2 of xmax, xstep, and xnum must be not None.  Default value is None.\n",
    "- **xstep** (*float or None, optional*) Step size to use between each x value.  At least 2 of xmax, xstep, and xnum must be not None.  Default value is None.\n",
    "- **xnum** (*int or None, optional*) Number of x values to use.  At least 2 of xmax, xstep, and xnum must be not None.  Default value is None.\n",
    "- **burgers** (*numpy.ndarray, optional*) The Burgers vector for the dislocation. Default value is [1, 0, 0].\n",
    "- **halfwidth** (*float, optional*) The dislocation halfwidth to use. Default value is 1.\n",
    "- **normalize** (*bool, optional*) If True (default), the disregistry values will be scaled such that the two endpoints differ by exactly one Burgers vector.\n",
    "- **shift** (*bool, optional*) If True (default), the disregistry will range [0, 0, 0] to burgers.  If False, the disregistry will range from -burgers to burgers.\n",
    "        \n",
    "Returns\n",
    "\n",
    "- **x** (*numpy.ndarray*) The x-coordinates for the disregistry values.\n",
    "- **disregistry** (*numpy.ndarray*) The disregistry vector at each x-coordinate.\n",
    "\n",
    "**NOTE:** the parameters normalize and shift should both be True for use with the SDVPN model."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Check burgers vector as transformed for the SDVPN solution:\n",
    "\n",
    "- x = edge component.\n",
    "- y = normal (out-of-plane) component. Should be 0.0\n",
    "- z = screw component."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Transformed Burgers vector = [2.86043063 0.         0.        ]\n"
     ]
    }
   ],
   "source": [
    "b = pnsolution.burgers\n",
    "print('Transformed Burgers vector =', b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate arctan disregistry using burgers. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "xstep = box.a * 2**0.5 / 4  # atomic column separation along [10-1] direction\n",
    "xnum = 100\n",
    "halfwidth = 2\n",
    "\n",
    "x, disreg = am.defect.pn_arctan_disregistry(xstep=xstep, xnum=xnum, burgers=b, halfwidth=halfwidth)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set x, disregistry to the SDVPN object"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "pnsolution.x = x\n",
    "pnsolution.disregistry = disreg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5.2 Check initial disregistry\n",
    "\n",
    "The SDVPN class has some built-in methods for checking the disregistry profile and the corresponding energy values.\n",
    "\n",
    "- __total_energy(), misfit_energy(), elastic_energy(), longrange_energy(), stress_energy(), nonlocal_energy() and surface_energy()__ return the values for the different energy terms based on the current disregistry.\n",
    "- __check_energies()__ prints out the current energies for all of the different energy terms.\n",
    "- __disregistry_plot()__ creates a simple plot of the disregistry profiles.\n",
    "- __E_gsf_surface_plot()__ extends the corresponding GammaSurface method by including a line for the disregistry profile.\n",
    "- __E_gsf_vs_x_plot()__ plots the stacking fault energy associated with the disregistry values along x versus x."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dislocation energy terms in eV/Å:\n",
      "Misfit energy =     0.15241997612247116\n",
      "Elastic energy =    -0.21141715213384996\n",
      "Long-range energy = 2.312310391118972\n",
      "Stress energy =     -0.0\n",
      "Surface energy =    0.0\n",
      "Nonlocal energy =   0.0\n",
      "Total energy =      2.253313215107593\n"
     ]
    }
   ],
   "source": [
    "pnsolution.check_energies()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pnsolution.disregistry_plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 846x415.692 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pnsolution.E_gsf_surface_plot(a1vect=plotting_a1vect, a2vect=plotting_a2vect, energyperarea_unit='mJ/m^2')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pnsolution.E_gsf_vs_x_plot(energyperarea_unit='mJ/m^2')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. Solve SDVPN model <a id='section6'></a>\n",
    "\n",
    "Calling the SDVPN.solve() method will perform the energy minimization based on the current values of x, disregistry, and the various settings parameters.  Initial x and disregistry values can be passed to solve() along with new values for the different settings parameters (tau and below for the class initialization parameters)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.1. Call solve the first time\n",
    "\n",
    "Since x and disregistry have been set using the identified initial values, the minimization will start from there. Also note all options are as specified above. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 11\n",
      "         Function evaluations: 33184\n"
     ]
    }
   ],
   "source": [
    "pnsolution.solve()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.2. Check results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dislocation energy terms in eV/Å:\n",
      "Misfit energy =     0.15773145395826443\n",
      "Elastic energy =    -0.2561554835193246\n",
      "Long-range energy = 2.312310391118972\n",
      "Stress energy =     -0.0\n",
      "Surface energy =    0.0\n",
      "Nonlocal energy =   0.0\n",
      "Total energy =      2.2138863615579116\n"
     ]
    },
    {
     "data": {
      "image/png": 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j7Zniz2YC4N3Eke4BHoT4NSXErymBLVyxsZYJC0LUV5LkiTLatWvHhQsXGDBgQKX12rRpA2A2ZqtEfHx8uXWPHDlSpu7Ro0fLnB+MyUdVMZQnICCg2nFVRClF79696d27N/PmzWPLli2Eh4ezaNEi5s2bV+m+JfG3atWKW2+9tdK6/v7+1fpMKhMUFERQUBDTp08nMTGR4OBg5syZY0ryatM9Nm7cOFasWMGmTZuIjIzEwcGBkSNH1vh4on47fi6LL2ISWf/Lac5l5mFjpbjFvxkvhnekb5AXbT2dpbtViAZE/gQTZTzwwAPExsby+eefl9lWWFjI+fPnAQgNDaVly5YsWbKES5cumeocOnSIbdu2me0XEhKCl5cXS5YsITs721QeHx9fpm63bt0IDAzk3XffLTOmDeDcuXOVxt+iRQtCQkJYu3YtycnJpvLk5GRWr15d6b5g7Eq9XHBwMIDp2iszfPhwbGxsmD17NgaDocz20l3N4eHhxMXFsX37dlNZYWEhixYtqvI8GRkZZY7v6+uLp6enWZwlrYnp6elVHvNyd9xxB23btmXx4sWsW7eOoUOHVmuGsmg4LuUZ+CImkeEf7qH/wmiW/HiSLj5NeH90ML+8PJA1j3Xn0TsCaOflIgmeEA2MtOSJMqZNm8Z3333HQw89xObNm+nRowcAx44d4+uvv+bVV18lIiICGxsb5s+fz9ixY+nZsycRERFkZGTw3nvv0blzZ9P6cGBccPif//wn48ePp1evXjz88MNkZWXx/vvv07lzZ3799VdTXSsrK5YtW8agQYPo1KkTjzzyCAEBAaSmpvLrr7/yzTffkJeXV+k1vPnmmwwcOJAePXowadIktNZ8/PHHBAQEcODAgUr3nTt3LpGRkdx11134+/uTlZXFsmXLsLKyKjMDtTz+/v4sXLiQqVOnEhISwogRI/Dy8iIpKYmoqCisrKzYsWMHADNmzGD16tXce++9ZkuoZGQYZ2lX9p9qZGQkkydPZvjw4QQGBmJjY8PmzZuJi4sz62q/5ZZb+Oijj5gyZQpDhgzBxsaGu+++G2dn5yqvRSlFREQEL730EoBMuGhEcgsKWbEngQ+jj3Mhu4CA5s48NySIYcHeeLk5WDo8IURd0FrLo9QjJCREV+Xw4cNV1mnocnJy9KuvvqpvvPFGbW9vr93d3fXNN9+sp0+frv/44w+zuitXrtSBgYHazs5Od+jQQS9dulTPmjVLG/95mVu6dKnu0KGDtrOz00FBQXrVqlV62rRp2sHBoUzd2NhY/eCDD+qWLVtqW1tb3apVKz1gwAC9aNGial3Dli1bdHBwsLazs9OtW7fW8+fP10uXLtWAPnnypKne2LFjtZ+fn+l9ZGSkHjZsmPbx8dF2dnbay8tLDx48WO/YscPs+H5+frpXr14Vnn/r1q164MCB2t3dXdvb22t/f389cuRIvXXr1jLXOXjwYO3o6Kg9PDz0xIkT9d69ezWg165da6q3bNkys9hPnDihJ0yYoNu3b6+dnJy0m5ubDg0N1UuWLNFFRUWm/fLz8/Xjjz+uvby8tFLK7BhVXYPWWicmJmorKyvt7e2tCwsLK617NVwP37drKd9QqFftTdC3vvYf7Tdjs3740/16/4k0s38zQoiGA4jRFeQ0sk7eZWqzTp6omXvuuYfY2Nhyx6ZdrzZs2MCwYcPYvXt3mTtkXGtnzpzB19eX6dOnX7O18UqT71vd2fzbn7yxNZ5T57MJ8WvKs4MDuS3Aw9JhCSFqQdbJE/VCXl4ednbm62TFxcXx3Xff8cgjj1gwMsvKyckxm+FaWFjIu+++i7u7u9li1Jby6aefUlRUVO3byYn6J89QyOyNh1nz31MEtXRlaUQofQO9ZIydEI2cJHnimvn1118ZN24c999/P76+vhw7doyPP/4YJycnnn32WUuHZzG9e/cmJCSELl26kJWVxVdffcVPP/3EggULcHCw3NioTZs2cezYMebPn88999xTrbX7RP1zNiOXSZ/9zK+nLvB4WFumDQrE2kqSOyGuB5LkiWvGx8eHG2+8kWXLlpGSkoKzszN9+vThtddeMy17cj3629/+xpdffsnnn3+OwWAgKCiIJUuWWLx188knnyQ5OZnevXtXa7avqH9iEs4zefUvXMoz8MGD3QjvfIOlQxJCXEMyJu8yMiZPiPpFvm8189m+P5i98Xe8mzryyZhQAlu6WjokIcRVIGPyhBDiOvLd/84w89+HCAv05N2Rwbg72Vo6JCGEBUiSJ4QQjciZizk8v/5/dPFxZ/HDodjKbceEuG7Jt18IIRqJoiLNM18eJN9QxNsju0qCJ8R1Tn4DCCFEI/HprpPsPpbGy3d3IsDTxdLhCCEsTJI8IYRoBA7/mcGb2+IZ2KkFo27xtXQ4Qoh6QJI8IYRo4HILCvn7ul9xd7Jl/n03yyLHQgigASd5SilfpdQOpVSsUup3pdTUcuqEKaUuKqUOFD9etkSsQghxNf1zSxxHzmax4P4uNHO2s3Q4Qoh6osEmeYABmKa17gh0B55QSnUqp96PWuuuxY9Xrm2Ioj5KSEhAKcXy5ctrfIyIiAj8/f3Nyvz9/YmIiKhVbNdCebGLhuvQ6Yss35PAuF7+9OngaelwhBD1SINN8rTWZ7TWvxS/zgRiAW/LRiVE4/XWW2/VKjEWV8e235OxtlJM7d/e0qEIIeqZRrFOnlLKHwgG9pezuYdS6iDwJ/CM1vr3axiauI7Ex8djZVX//25avHgxRUVFV7zfW2+9Rbt27RpEa+X15IfYFEJaN6WJk3TTCiHM1f//kaqglHIBvgb+rrXOuGzzL4Cf1roL8B7w7wqO8ZhSKkYpFXPu3LmrG7Awk52dbekQ6oy9vT22trW/s4DWmtzc3DqIqHy2trbY29tftePD1b8GYZR8MZfDZzLo19HL0qEIIeqhBp3kKaVsMSZ4q7XW6y/frrXO0FpnFb/+DrBVSjUvp94nWutQrXWop6eMaVm+fDlKKbZt28arr76Kr68vDg4O9OrVi4MHD5apf/r0aSIiImjRogX29vZ06tSJt99+m8vvixwWFoaPjw/x8fGEh4fj5uZGeHi42baTJ09y11134erqSosWLXjppZfQWpOWlsaYMWNo1qwZbm5uPPLII2WSiI0bNzJ06FB8fX2xt7enZcuWREREkJycXKvP4+233yYgIAAHBweCg4PZvHlzufXKG5P38ccf06VLF1xcXHB3d6dz587MmjXLtL1kfODMmTNZvnw5N954I/b29qxduxYAg8HA/Pnz6dSpEw4ODjRv3pyHHnqIpKSkMuffsmULwcHBODg40KZNG9566y2WLVuGUoqEhARTvfLG5EVFRdG3b188PDxwcnIiICCAMWPGkJmZCYBSitOnTxMdHY1SCqWU6RiVXUP37t3p0KFDuZ9XREQEjo6OXLhwobKPX1QiMi4FgH5BkuQJIcpqsN21yrhGwKdArNb6rQrqtATOaq21UupWjElt2jUMs0GbOXMmSin+8Y9/kJOTw4IFCxg6dChHjx7Fxsb4TyctLY2ePXuSnJzME088QUBAAJs3b+Yf//gHx48f5/333zc7ZnZ2NgMGDGDw4MEsWLAAa2tr07acnBwGDBjAoEGDeOONN9iwYQOvvvoqLi4urFu3jo4dO/Laa68RHR3N0qVLadGiBfPmzTPtv3TpUgwGA5MmTcLLy4u4uDgWL17M/v37OXDgQI1ar1577TVmzpxJ7969+fvf/87p06cZPXo0fn5+Ve67bNkyJk2axD333MOkSZMAY5dudHR0mbrffPMNaWlpTJ48GU9PT4KCgtBac//99/Pdd98RERHB1KlTOX36NO+//z47d+7k119/xcPDA4DIyEjuvvtu/Pz8mD17NkopPvjgA9zc3KqMMzY2liFDhhAUFMTMmTNxdXXl1KlTbNq0iYyMDFxdXVm1ahVPPfUULVq04MUXXwTAxcV8sd3yrmH8+PFMnDiRvXv30qNHD1Pd7Oxsvv76a4YOHUqTJk2qjFGULzIuBZ+mjrT3koWPhRDl0Fo3yAdwO6CB34ADxY9wYBIwqbjOFOB34CCwD+hZ1XFDQkJ0VQ4fPlxlnYZs2bJlGtChoaG6oKDAVP71119rQH/77bemsunTp2tAf/XVV6ayoqIife+992pA//bbb6byPn36aEC//vrrZc5Zsu2dd94xleXn5+sbbrhBK6X0P/7xD7P6oaGhulmzZmZlWVlZZY4bFRWlAb1mzRpT2cmTJzWgly1bVunnkJqaqu3t7XXPnj3NPofvvvtOA9rPz8+svp+fnx47dqzp/dChQ3WnTp0qPUdJLPb29johIcFs27p16zSgN23aZFb+yy+/aGtra/3iiy+ayrp166bd3d312bNnTWXnzp3TTZs21YA+efKkqXzs2LFmsb/zzjsa0CkpKZXG6u3trfv06XNF13Dx4kXt6OioJ06caFa+atUqDeitW7dWek6tG//3raZy8g06aOYW/dK//2fpUIQQFgTE6Apymgbbkqe13gVUuuKn1vp94P3K6tSpLc9B8v+u2emq1LIzDPlnjXd/9NFHTS12AH379gXg+PHjprKNGzfSrl077rvvPlOZUorp06ezYcMGNm3aROfOnc2OO3ny5HLPZ2VlxcSJE03vbW1tufXWW/nmm29MLWElevXqRUxMDOnp6TRt2hQAZ2dnwPiHS2ZmJvn5+dx44400adKEn376iVGjRl3R9f/nP/8hLy+PKVOmmH0OQ4YMoWPHjlWOJ3R3d+f06dPs27eP7t27V1o3PDy8TOvg2rVr8fHxoXv37qSmpprKfX19CQgI4IcffuDVV18lOTmZX375xdSCWaJ58+aMHj2aRYsWVRknwIYNG5gwYUKNJ4+Udw1ubm7cd999rFu3jnfeeQcHBwcAVqxYgbe3NwMHDqzRuQTsO5FGTkEhfaWrVghRgQY9Jk9cXZf/h12STJ0/f95UlpCQQFBQUJl9O3UyLll48uRJs/JmzZqZkorLeXl5mZKAEiVdea1bty63vHQsR44cYdiwYbi5ueHu7o6npyeenp5cuHCB9PT0ii+0AiXj2AIDA8tsK6/scs899xxubm706NGDgIAAxo8fz8aNG8uMVQRo06ZNmbK4uDiSkpJM11H6cfToUVJSUszibN++7BIaFY2HK23UqFH07t2biRMn4unpybBhw1iyZAlZWVlV7lvVNQCMGzeOCxcusHHjRsA4hjMyMpIxY8Y0iNnI9VVkXAqOttb0CPCwdChCiHqqwbbk1Uu1aDWrj0qPlyvt8iSlslsoXb7N0dHxis9XnVgyMzPp06cPtra2zJo1i/bt2+Pk5IRSilGjRtVoyZCSY9f0FlFBQUHEx8ezbds2tm/fzrZt21i2bBmDBg3iu+++M7um8j6XoqIiAgIC+Pjjj8s9fsk+lcVZXkJ5OQcHB6Kjo9m1axdbtmzh+++/59FHH2Xu3Lns2bMHb+/qLT9Z0c+2b9+++Pv7s2LFCkaMGMFnn31GUVGRLMVSC1prIuNS6NXOAwfbir83QojrmyR5olb8/f2JjY0tU15Sdq3urBAZGUlycjI7duwgLCzMVJ6Tk1OjVjz4q2UqLi6O4OBgs23x8fHVOoajoyNDhw5l6NChaK15/vnnmT9/Pj/88AODBg2qdN927dqxc+dOwsLCzLqLK4rzyJEjZbYdPXq0WnEqpejduze9e/dm3rx5bNmyhfDwcBYtWmSa3FLTZFcpRUREBHPnziU5OZmVK1fSvXv3arWGivIdS8kiKT2Hx8PaWToUIUQ9Jn0lolbuvvtujh07xoYNG0xlWmsWLFhg2n4tlLSKXd5i98Ybb9SoFQ9g4MCB2Nvb8/7772MwGEzlW7ZsKTexvVxamvlEbqUUXbt2Bcy7mSvywAMPkJmZyRtvvFFmm9baNE6vZcuWBAcHs2bNGlMXLkBqaiqff/75FccJmJLa0nG6uLjUOGGOiIigqKiIp59+msOHD0srXi39ULx0St8gWfJJCFExackTtfLcc8/xxRdf8MADD5iWUPn222/ZsmULTzzxRJlJF1dLr1698PT0ZMyYMTz55JO4ubkRGRnJTz/9ZFpm5Ep5eHjwwgsvMGvWLPr168f999/P6dOn+eCDDz0MINUAACAASURBVLjppptMa8hVZODAgXh6etKrVy+8vb1JTExk0aJFeHp6VmvCwejRo/n3v//Niy++yJ49e+jXrx+Ojo6cPHmSf//734wePZrZs2cDxmT2//7v/+jRowePPfYYYLyzRZs2bUhPT6+0FW7u3LlERkZy11134e/vT1ZWFsuWLcPKyspsssott9zCZ599xpw5c+jQoQMuLi7VTuL9/Pzo168fa9euxcHBgZEjR1ZrP1G+yLgUOt7gxg3uFQ9/EEIISfJErXh4eLBnzx5eeOEFVq5cSUZGBgEBASxcuJCnn376msXRtGlTtm7dyjPPPMO8efOwtramb9++pkV+a+rll1/G2dmZ9957j+nTpxMUFMTnn3/OV199RVRUVKX7Tp48mTVr1vD+++9z8eJFWrRowZ133slLL71UrcRTKcW6dev48MMPWbp0KTNnzsTa2hpfX18GDRrEiBEjTHUHDBjAN998w4svvsjLL79Mq1atePLJJ7G1teWXX34pM6GltHvuuYfExERWrVpFSkoKTZo0ITg4mPfee8+s6/v1118nLS2NhQsXkpmZiZ+f3xW11I4fP54ffvhB1sarpYvZBfz8RzqT+7S1dChCiHpOVWdg9vUkNDRUx8TEVFonNjaWjh07XqOIhKi5qVOnsnjxYjIzMyud2HItfPnll4wYMYKtW7cyePDgau8n3zdzGw/+yVNrfuXryT0J8Wtq6XCEEBamlPpZax1a3jYZkydEI1BYWEhBQYFZ2blz51i1ahV33HGHxRM8MN7izdfXV9bGq6XI2LM0c7ajq6+0hgohKifdtUI0AufOneOWW27hwQcfJCAggNOnT7N48WIuXbpkdq/ca+3SpUts2rSJ/fv388MPP/DOO+/I2ni1UFikiT5yjr6BXlhb1Wy2sxDi+iFJnhCNgKurK2FhYXzxxRecOXPGdLeQ2bNnm90z9lo7d+4cDzzwAG5ubkycOJEnnnjCYrE0BgcS00nPLqBfR7nLhRCiapLkCdEIODs7s2rVKkuHUYa/v3+1FmQW1fO/pIsA3NqmmYUjEUI0BNJvIoQQDURieg6OttZ4uthbOhQhRAMgSZ4QQjQQSenZ+DR1rPHdR4QQ1xdJ8oQQooFIPJ+DT1NZAFkIUT2S5AkhRAORlJ6NbzMnS4chhGggJMkTQogG4GJOARm5BmnJE0JUmyR5QgjRACSlZwPg21Ra8oQQ1SNJnhBCNACJ53MA8JEkTwhRTZLkCSFEA2BqyWsm3bVCiOqRJE+IYsuXL0cpRUJCgqksIiICf39/i8VUXeXFLhqXpPQcXOxtcHe0tXQoQogGQpI8Ia5j69evZ/bs2ZYOQ1SDrJEnhLhSkuQJUYnFixcTHx9v6TCqNGbMGHJycvDz87ui/davX8+cOXOuUlSiLhnXyJPxeEKI6pMkT1xz2dnZlg6h2mxtbbG3r5tbSF3N67a2tsbBweGqt/I0pJ9dY6K1Ll4jT8bjCSGqT5I8UcalS5eYMWMGbdu2xcHBAU9PT3r27MkXX3xRpt7LL79MUFAQDg4OeHl5MWjQIHbt2mWqExYWho+PD/Hx8YSHh+Pm5kZ4eLhpe3R0NIMGDcLd3R1HR0e6d+/O5s2bTduzsrKwtbXl+eefNzt3u3btUEqxf/9+U1lcXBxKKT799NMqr3H79u2EhITg4OCAv78/b775JlrrMvXKG5MXFRVF37598fDwwMnJiYCAAMaMGUNmZqapjr+/P7fffjv79u3jjjvuwMnJiccff9y0fcOGDfTq1QsXFxdcXFzo378/e/bsKXP+I0eOMGTIEJydnfH09GTSpEkcOnQIpRTLly831StvTN6JEycYPXo03t7e2Nvb06pVK+68804OHjwIGH82q1evBkApZXqUHKOia3juueewtrYmMTGxTLwlcWzbtq3Kn4GovvTsAi7lF0pLnhDiithYOgBR/zz++OOsWbOGyZMn07lzZzIyMjh48CB79+5lxIgRAOTk5NC3b19++uknRowYwZQpU8jNzWXPnj1ER0dz++23m46XnZ3NgAEDGDx4MAsWLMDa2hqAr7/+mpEjR9KjRw9mzZqFjY0Na9as4W9/+xtr1qxh5MiRuLi40K1bN6KiokzHO336NMePH8fKyoodO3Zw2223AcaEEaBPnz6VXl90dDR33nknPj4+zJo1C6UUH3zwAU2aNKnys4mNjWXIkCEEBQUxc+ZMXF1dOXXqFJs2bSIjIwNXV1dT3aSkJO68804efvhhxowZg7u7OwDvvPMOTz/9NHfddRevv/46+fn5fPrpp/Tt25fIyEh69eoFQEpKCnfccQeZmZk89dRTtGrVivXr1/Pwww9XGWdBQQGDBg0iKyuLyZMn4+vry9mzZ9m5cyexsbF06dKFF198kYKCAvbs2cOqVatM+3p6elZ6DV27dmX+/Pl89tlnZZLvlStX4u3tzcCBA6uMUVTfX2vkSUueEKL6JMmrQ/P/O5+483GWDsMkqFkQM26dccX7bdy4kUcffZR33323wjoLFy7kp59+4v333+eJJ54w23Z5i1h6ejrPPvsszz33nKksOzubiRMnMnToUL766itT+RNPPEH37t2ZPn06I0aMQClFWFgYb731FpcuXcLZ2Zno6Gjs7Oy46667iIqKMh03OjqaVq1a0a5du0qv75lnnsHJyYm9e/fSsmVLwNhiFxgYWOVns337dnJzc9m+fbtZMvTKK6+UqfvHH3+wZs0aRo0aZSpLSkri2WefZdq0aSxYsMBUPnHiRDp16sSMGTNMLaHz58/n7NmzbNu2jUGDBgHGBLx///5Vxnn48GGOHz/OF198wf33328qL52UDRw4kBUrVrBnzx4eeuihco9T3jUA9OzZkxUrVpgd79SpU0RFRTFjxgysrKSToC7JGnlCiJqQ38SiDHd3d/bv319ud1yJL774gtatWzN58uQy28obF3Z5ve+//560tDQeeughUlNTTY/09HSGDBlCYmIiR44cAYwtcwaDgd27dwPGZO7WW29lyJAh7N69G4PBAMDOnTurbMU7e/YsMTExjBo1ypTgAbRs2ZIHH3yw0n0BU2vchg0bKCoqqrSuh4eHqeWzxPr16ykoKGD06NFm152bm0v//v3Zu3evadzbt99+S1BQkCnBA+PYuylTplQ7zq1bt5KVlVVl/Su5BoDx48cTHx9v1l2+atUqtNZERETU+HyifLJGnhCiJqQlrw7VpNWsPnrzzTcZO3Ysfn5+dO3alf79+zNy5EhCQ0NNdY4ePUq/fv2q1WLTrFkzU9JRIi7O2OJ57733VrhfSkoKgYGB9O7dG2tra6Kiohg0aBDR0dEMHz6cPn36kJWVRUxMDM2bN+f06dNVJnknT54EKLfVrjoteaNGjWLp0qVMnDiR559/nj59+hAeHs6oUaNwcXExq+vn51fm8ym57pCQkArPkZaWhpOTEwkJCWYJXokOHTpUGae/vz/Tpk1j4cKFrF69mp49ezJo0CAefPBBfH19q9y/smsAGDFiBFOnTmXFihWm7vJVq1bRvXv3an2O4sokpmfTxMkWVwdZI08IUX2S5Iky7r//fvr06cOmTZv4/vvvWbp0KQsXLmT27Nm8/PLLpnrVncnp6Fi29aGkFezDDz+ssHv1pptuAsDV1ZXg4GCio6M5e/Ys8fHxhIWF0b59e1q1akVUVJSp6zQsLKzSWEq6kms6C9XBwYHo6Gh27drFli1b+P7773n00UeZO3cue/bswdvb21S3suvesGFDmaSwROlu4PLiLG+CSHkWLFjAhAkTTD/H2bNnM3fuXNavX8/gwYOrdYzyrgGMP5Phw4ezdu1a3n77bQ4cOEB8fDwfffRRtY4rrkxSeg4+Mh5PCHGFJMkT5fLy8uKRRx7hkUceITs7m/DwcF555RWmT5+Oo6Mj7du359ChQxQVFdVo/FVJYtesWTMGDBhQZf2wsDDeffddvvvuO2xtbenZsydg7MqNiorCy8uLFi1aVNmKFBAQAPzVolZaddfDU0rRu3dvevfuzbx589iyZQvh4eEsWrSIefPmVbpvyXW3atWKW2+9tdK6/v7+pi7r0o4ePVqtOAGCgoIICgpi+vTpJCYmEhwczJw5c0xJXm2WXBk3bhwrVqxg06ZNREZG4uDgwMiRI2t8PFGxxPPZdGjhWnVFIYQoRcbkCTOFhYVcvHjRrMzJyYmgoCCzbSNGjOCPP/7gk08+KXOM6rQ0DR48mKZNmzJv3jxycnLKbE9JSTF7HxYWRkFBAW+88QahoaE4ORkHoPfp04fdu3ezY8eOKrtqAVq0aEFISAhr164lOTnZVJ6cnGxaTqQyaWlpZcqCg4MBOH/+fJX7Dx8+HBsbG2bPnm0aS1ha6esODw8nLi6O7du3m8oKCwtZtGhRlefJyMgoc3xfX188PT3N4ixpTUxPT6/ymJe74447aNu2LYsXL2bdunUMHTq0WjOUxZUxrpEnLXlCiCsnLXnCTGZmJt7e3tx777106dKFZs2a8euvv7JkyRL69etnmqwwbdo0NmzYwOTJk01LpuTn57Nnzx6Cg4N54YUXKj2Pq6srS5YsYeTIkdx4442MGTMGX19fzpw5w759+4iLi+P48eOm+iXj8uLi4sxmdIaFhZGVlUVWVla1kjwwjjkcOHAgPXr0YNKkSWit+fjjjwkICODAgQOV7jt37lwiIyO566678Pf3Jysri2XLlmFlZVVmBmp5/P39WbhwIVOnTiUkJIQRI0bg5eVFUlISUVFRpmVhAGbMmMHq1au59957zZZQycjIACpvhYuMjGTy5MkMHz6cwMBAbGxs2Lx5M3FxcWYzgW+55RY++ugjpkyZwpAhQ7CxseHuu+/G2dm5ymtRShEREcFLL70EIBMurpJzWXnkGYrwbSYza4UQV0hrLY9Sj5CQEF2Vw4cPV1mnocrLy9PPPvus7tatm27SpIl2dHTUHTp00DNnztQZGRlmdTMyMvSMGTN0QECAtrW11Z6ennrw4MF6165dpjp9+vTR3t7eFZ5v//79eujQodrDw0Pb2dlpX19ffffdd+s1a9aUqRsSEqIBvXXrVrPyli1bakAfOnSo2te5ZcsWHRwcrO3s7HTr1q31/Pnz9dKlSzWgT548aao3duxY7efnZ3ofGRmphw0bpn18fLSdnZ328vLSgwcP1jt27DA7vp+fn+7Vq1eF59+6daseOHCgdnd31/b29trf31+PHDmyzLXFxsbqwYMHa0dHR+3h4aEnTpyo9+7dqwG9du1aU71ly5aZxX7ixAk9YcIE3b59e+3k5KTd3Nx0aGioXrJkiS4qKjLtl5+frx9//HHt5eWllVJmx6jqGrTWOjExUVtZWWlvb29dWFhYad2aaszft+qISTiv/WZs1j/EJls6FCFEPQTE6ApyGqWrOYj7ehEaGqpjYmIqrRMbG0vHjh2vUURCmNuwYQPDhg1j9+7dprGJlnLmzBl8fX2ZPn06r7/++lU5x/X+ffvmwGmmrj3Af56+g/YyLk8IcRml1M9a69DytjXYMXlKKV+l1A6lVKxS6nel1NRy6iil1L+UUseUUr8ppbpZIlYhaury8YqFhYW8++67uLu7062b5f85f/rppxQVFTFu3DhLh9JoJaUb/w14y5g8IcQVashj8gzANK31L0opV+BnpdR/tNaHS9UZArQvftwGfFj8LESD0Lt3b0JCQujSpQtZWVl89dVX/PTTTyxYsAAHBweLxbVp0yaOHTvG/Pnzueeee6q1dp+omaT0bJq72OFk15B/XQshLKHB/tbQWp8BzhS/zlRKxQLeQOkk7x5gZXGf9T6lVBOl1A3F+wpR7/3tb3/jyy+/5PPPP8dgMBAUFMSSJUt45JFHLBrXk08+SXJyMr17967WbF9Rc4nnc/CW25kJIWqgwSZ5pSml/IFgYP9lm7yB0vfmSiouM0vylFKPAY8BtG7d+mqFKcQVe/nll80WoK4vEhISLB3CdSMpPZubvN2rriiEEJdpsGPySiilXICvgb9rrTMu31zOLmVmmmitP9Fah2qtQ0vfbUAIISypsEhz+kIOPtKSJ4SogQad5CmlbDEmeKu11uvLqZIElL5Rpw/w57WITQghaislM5eCQo1vM5l0IYS4cg02yVPGlWA/BWK11m9VUG0j8HDxLNvuwMW6Go8nS88IcfVd79+zxPPGmbXSkieEqImGPCavFzAG+J9SquQ2BS8ArQG01h8B3wHhwDEgG6iTdR7s7OzIyckx3VpLCHF15OTkYGtra+kwLCYpPRsAX1k+RQhRAw02ydNa76L8MXel62jgibo+d/PmzUlKSqJ58+a4urpiY2NTqxu9CyHMaa3Jycnh9OnTtGjRwtLhWExJS16rJpLkCSGuXINN8izJ3d0de3t7zp07R1paWrk3mhdC1I6trS0tWrTAzc3N0qFYTFJ6Ni3c7HGwtbZ0KEKIBkiSvBpycHDA19e36opCCFFDienZMh5PCFFjDXbihRBCNHZJ6TkyHk8IUWOS5AkhRD1kKCzizMVcackTQtSYJHlCCFEPnbmYS2GRrJEnhKg5SfKEEKIeSixePkVa8oQQNSVJnhBC1ENJ6cblU3wlyRNC1JAkeUIIUQ8dS8nC1lrR0t3B0qEIIRooSfKEEKIe2nM8lW6tm2JnI7+mhRA1I789hBCinjl/KZ/f/8zg9nbNLR2KEKIBkyRPCCHqmb3H09AaerWXJE8IUXOS5AkhRD2z61gqrvY23OztbulQhBANmCR5QghRz+w+lkr3th7YWMuvaCFEzclvECGEqEcSz2dz6nw2vdp6WDoUIUQDZ3O1DqyUsgaCgJuBm7XWz1+tcwkhRGOx+1gqALfLeDwhRC1VK8krTtgmAMHAYeADrbWh1PYbKE7mgM7Fz0GALaAADUiSJ4QQVdh1LJUWbva09XSxdChCiAauui15q4DuwAfA34A7lVKx/JXUNSuup4Ci4ucoYBdwrPghhBCiEkVFmj3H0wgL9EQpZelwhBANXJVJnlLKDhgBjNRaf62UWgykA32B40A08Hvx4xBQAMQD72qtN16twIUQorGJTc7g/KV8WR9PCFEnqkzytNb5SqkEYKhS6kfgvuJNp4FXtdarS9dXSvnVeZRCCHEdKBmP10uSPCFEHaju7Nr7gPZALNAf6AUcAFYppWKUUv2vUnxCCHHd2HUsjfZeLrRwk/vVCiFqr1pJntb6oNa6u9baQ2s9XGu9V2t9L8ZkLwfYrpTaqpS6+apGK4QQjVSeoZD/nkyTVjwhRJ2p1Tp5xcleb2AY4Av8AizCOJtWCCFENf3yxwVyC4pkPJ4Qos7UyWLIWutvMM6ynQx0xTi7dnjx0ipCCCGqsPtYKtZWitsCmlVdWQghqqHO7nihtS7SWi/GOHbvJYxLrZxQSn0gkzGEEKJyu4+n0sXHHVcHW0uHIoRoJOr8tmZa6xyt9WtAW+ATYDzGJVWEEEKUIyO3gIOJF6SrVghRp67avWu11mla66lAJ2D91TqPEEI0dPuOp1GkZekUIUTduuIk70q7XrXWJ7TWo2uyrxBCXA92xKfgaGtNcOumlg5FCNGI1KQl76hSaolSKri6OyiluimllgJHanA+IYRotFIyc/n6l9Pc3eUG7GyuWueKEOI6VN1715Y2CPgnEKOUOgpsB34CTmC83RlAU4xj8m4prt8O+BkYXNuAhRCiMVm6KwFDYRGTw9pZOhQhRCNzxUme1joK6F58l4tHMU6smELZtfEUkA1sBh7XWv9Qu1CFEKJxuZhdwGf7/uDOm1vRprmzpcMRQjQyNWnJA6A4aftBKWUDhAAdAc/izecw3gLtZ621odZRCiFEI7RibwJZeQYeD2tr6VCEEI1QjZO8EsVJ3P7ihxBCiGq4lGdg6e6T9A/youMNbpYORwjRCMkoXyGEsIA1/z3FhewCnugnY/GEEFdHg07ylFJLlVIpSqlDFWwPU0pdVEodKH68fK1jFEKIy+UZCvlk5wl6BHjQTZZNEUJcJQ06yQOWA/9XRZ0ftdZdix+vXIOYhBCiUl/9nERKZh5TpBVPCHEVNegkT2u9Ezhv6TiEEKK6DIVFfBR9nC6+TejZ1sPS4QghGrEGneRVUw+l1EGl1Bal1I3lVVBKPaaUilFKxZw7d+5axyeEuI5s/u0MiedzeCKsLUopS4cjhGjEap3kKaVeU0rV1z6HXwA/rXUX4D3g3+VV0lp/orUO1VqHenp6lldFCCFqraCwiH9FHiWwhSsDOrawdDhCiEauLlryngPilVK7lVITlFL1Zi0ArXWG1jqr+PV3gK1SSu4ALoSwiHU/JXLi3CWeGRyIlZW04gkhrq66SPICgDkYF0L+BDijlPpMKTWgDo5dK0qplqq4P0QpdSvG602zbFRCiOvRpTwD73x/lFv8mzKgo5elwxFCXAdqneRprf/QWr+ite4A9AY+A8KBbUqpU0qpV5VS7Wt7nvIopdYAe4FApVSSUuoRpdQkpdSk4irDgUNKqYPAv4BRWuvLb78mhBBX3eIfT5Calcfz4R1lLJ4Q4ppQVyPnUUrZAfcAE4CSFr19wKfAaq11Xp2ftI6EhobqmJgYS4chhGhEzmXm0efNHYQFevLBgyGWDkcI0YgopX7WWoeWt+1qza7tjLFVLwRQwFHAHVgCHFNK9bhK5xVCiHrn3R+OkG8oYvrgIEuHIoS4jtRZkqeUukEpNb347hP/BSIwzmbtrbUO0lrfBNwBXAI+qqvzCiFEfXb8XBZr/pvI6Nta06a5s6XDEUJcR2xqewCl1ChgLMZuWWvgR2A88KXWOrt0Xa31LqXUG8DHtT2vEEI0BG9ujcfBxoqn+l+VoclCCFGhWid5wOdAEjAfWKa1Pl5F/UMYJ2cIIUSj9vMf59n6ezL/GNiB5i72lg5HCHGdqYskbwiwvbqzVrXW/8XYnSuEEI2W1pp/bonD09WeCb3bWDocIcR1qFZj8pRSVkAs0LRuwhFCiMZh34nz/JSQzpS+7XCyq4u/p4UQ4srUduKFNXACGFcHsQghRKPxQdQxmrvYM/IWX0uHIoS4TtUqydNaFwBngIK6CUcIIRq+g4kX+PFoKhN6t8HB1trS4QghrlN1sYTKZ8BopZT0RwghBLBoxzHcHW15qLufpUMRQlzH6iIx2wncBfyklFoCJAA5l1fSWkfWwbmEEKJei0/OZPvhs0zt3x4Xe/nbVwhhOXXxG+jbUq/fAy6fZauKy6TPQgjR6H0YdQwnO2sievpbOhQhxHWuLpI8mXQhhBDAH2mX2HjwTyb0DqCps52lwxFCXOfqIsnTwE6tdUJ5G5VS/hhvZyaEEI3aR9HHsbG2YsLtsi6eEMLy6mLixTKgZyXbbyuuI4QQjVbyxVy++jmJEaE+eLk5WDocIYSokyRPVbHdESisg/MIIUS99cnOExRpmHhHW0uHIoQQQA27a5VSrQH/UkVBSqnyumSbApOAP2pyHiGEaAhyCwpZ+9Mp7unSCt9mTpYORwghgJqPyRsHzMI4Hk8DLxY/Llcys/bxGp5HCCHqvZ//SCc7v5C7u7SydChCCGFS0yRvI5CEMYn7BPgU2HdZHQ1kATFa6xM1jlAIIeq5H4+mYmOluLVNM0uHIoQQJjVK8rTWvwK/AiilvIH1Wuv/1WVgQgjRUOw+lkq31k1xlsWPhRD1SK0nXmit55SX4Cml7JVSXrU9vhBC1Gfpl/I59OdFbm/f3NKhCCGEmVoneUqp4UqphZeVzQQygTNKqe1KKefankcIIeqjvSfS0Bp6tZMkTwhRv9TFEipPA6aBKEqpEGAOsBtYDPQFptfBeYQQot758WgqLvY2dPFxt3QoQghhpi4GkLQHviz1fiRwHhiitc5VShmKy2bXwbmEEKJe2X0sle4BHthY18XfzEIIUXfq4reSK5BR6n1/YLvWOrf4/S+Abx2cRwgh6pVTadmcOp9NbxmPJ4Soh+oiyTsN3ASglPIBugLfl9reDMirg/MIIUS9sutYKiDj8YQQ9VNddNd+DUxVStlivE9tDrCp1PYugKyTJ4RodHYfS6WlmwNtPWVumRCi/qmLJG8O0BJ4ELgIRGitUwGUUm7AvcB7dXAeIYSoN4qKNLuPp9I/qAVKVXULbyGEuPZqneRprbOBsRVszgK8gezankcIIeqTw2cyuJBdwO3tPSwdihBClOuqLs+utS7C2LonhBCNyo9HZTyeEKJ+u+IkTynVGkBrfar0+6qU1BdCiMZg97FUAlu44uXqYOlQhBCiXDVpyUsAtFLKUWudX/K+GvtZ1+BcQghR7+QWFPLfhPM8dJufpUMRQogK1STJG48xqSu47L0QQlwXYhLSyTcUyXg8IUS9dsVJntZ6eWXvhRCisdt1LBUbK8VtbSTJE0LUXw36PjxKqaVKqRSl1KEKtiul1L+UUseUUr8ppbpd6xiFEI3P7mOpdGvdFGf7qzp3TQghaqXWv6GUUg9XUUUDuUAi8EvxOL66shx4H1hZwfYhGO+t2x7jQs0fFj8LIUSNXMwu4NCfF5nav72lQxFCiErVxZ+hy/lrTN7lK4KWLtfARaXUK1rrd+rgvGitdyql/Cupcg+wUmutgX1KqSZKqRu01mfq4vxCiOvPybRLaA03tnK3dChCCFGpuuiu7QwcAHYC92O8jVlXYERx2S9AD2A48BuwUCkVUQfnrQ5vjC2IJZKKy8wopR5TSsUopWLOnTt3jUITQjRESenGtd19mjpaOBIhhKhcXSR5TwAXgH5a66+11v/TWv+mtf4K6A9kAg9rrTcA/YCfgSfr4LzVUd69hsrMBNZaf6K1DtVah3p6el6DsIQQDVXi+RxAkjwhRP1XF0necGB9cZeomeI7XqzH2MJX8v5LIKgOzlsdSYBvqfc+wJ/X6NxCiEYoKT2bJk62uDrYWjoUIYSoVF0keU7ADZVsb1Vcp0QWYKiD81bHRuDh4lm23YGLMh5PCFEbiek55tW1fwAAIABJREFU+DZ1qrqiEEJYWF1MvPgRmKqU2qG1/qH0BqXUAOApjGPzSnTBeJeMWlNKrQHCgOZKqSRgFmALoLX+CPgOCAeOAdnAuLo4rxDi+pWUnk1gC1dLhyGEEFWqiyTvKYyJ3nalVBxwFOO4tw4Yu2XPAX8HUEo5ACEYu2xrTWv9QBXbNcYxg0IIUWtaa06n59A/yMvSoQghRJVqneRprY8qpToDz2FsNRtcvCkBeAeYr7VOKa6bC9xS23MKIYQlnMvMI89QhG8z6a4VQtR/dbJcu9b6HDCt+CGEEI3S/7d35/F11XX+x1+fu2RtmybdV7pQ2gYKAgUURIXCgOgPHNEHKD9ZiiL+RmX0Z51RxxlReQyKI+qo81ARQcABBMdhHEFBCuOPpbQVZUlburAkpW1Kmm7Zbu69n98f56S9CUmaNjc5uTfvJ4/zOPes308Ot/e+71nrm3VlrYgUjoJ+rJmIyHDqukeeLrwQkUKQl5BnZkkzW25md5nZw2Z2Yji+2swuN7OZ+WhHRCRKDeGevBnakyciBSAfz64dDzwCnAS0AWVAdTh5D3ADcCfwhcG2JSISpfpdrUwcU0JFSV7OdBERGVL52JN3A1ALXAjMIecpEzk3Qz4/D+2IiESqobmNGTpUKyIFIh8h733A9939N0C2l+kbgaPy0I6ISKQamlt10YWIFIx8hLwJwEuHmKcsD+2IiEQmk3W27tbTLkSkcOQj5DUQ3Pi4L28jeOKEiEjBatzXTmfGtSdPRApGPkLevcDHzeyEnHEOYGYfAi4B/j0P7YiIRKZ+V3BlrW6ELCKFIh+XiH0dOBtYBawhCHhfC6+6XQw8BfxLHtoREYlM1z3ytCdPRArFoPfkuXsr8A7gH4FyoJ3g+bQOfBlY5u6pwbYjIhKlrj15M8Yr5IlIYRjUnjwziwEzgf3u/k3gm3mpSkRkhGlobmXy2FLKkvGoSxERGZDB7smLA1uAq/JQi4jIiNXQ3Kbz8USkoAwq5Ll7J7AN6MxPOSIiI1O97pEnIgUmH1fX3gl82Mz0nB8RKUrpTJZte9oV8kSkoOQjmP0P8F5gtZndArxC8Azbbtz90Ty0JSIy7LbtaSeTdd0IWUQKSj5C3n/nvP5Xwnvk5bBwnM5WFpGC1NAc/G6dqZAnIgUkHyFPF12ISFHrukferBodrhWRwjHokOfut+ejEBGRkaq+uQ0zmFalkCcihSMfF170ysxKzWzyUK1fRGS4NDS3Mm1cGSWJIfvIFBHJu0F/YpnZB8zsX3qM+wdgH7DNzH5vZpWDbUdEJCoNu9p0Pp6IFJx8/Cz9DFDTNWBmJwPXA08APwHOAlbkoR0RkUg06B55IlKA8nHhxQLglznDlwC7gHe7e7uZpcNxX8lDWyIiwyqVzrJtbzsz9bQLESkw+diTNxbYmzO8DPi9u7eHw38CZuWhHRGRYbdtTxvuaE+eiBScfIS8rcBxAGY2E3gL8EjO9BqgIw/tiIgMu6575OlGyCJSaPJxuPZ+4DozSwKnETzt4r9ypp8AbMlDOyIiw65+V3CPPO3JE5FCk4+Qdz0wFbgM2ANc6e5vAJjZOOCvCZ6EISJScBqa24jHjGlVZVGXIiJyWPJxM+RW4Io+Ju8HZgCtg21HRCQK9c2tTKsqIxHXPfJEpLDkY09en9w9S7B3T0SkIDU0t+lQrYgUpMMOeWY2G8DdX8sdPpSu+UVECkn9rlbeecykqMsQETlsR7In7xXAzazc3VNdwwNYLn4EbYmIRKa9M0Pjvg497UJECtKRhLzlBKGus8ewiEhReX13ePuUGh2uFZHCc9ghz91v6294OJnZ+cB3CfYS3uLuN/aYfiVwE8G9/AC+7+63DGuRIlKwnt8anFI8f9KYiCsRETl8R3JO3uVH0I67+x1HsFx/dcSBHwDnAg3AajN7wN3resx6j7t/Mp9ti8jo8Oj6RiZUlrBkRlXUpYiIHLYjOVx7Wy/jug7XWh/jAfIa8oBTgU3uvgXAzO4GLgJ6hjwRkcOWzmR5/KWdLFs0hVis50ebiMjIdyQhb26P4XHA7UAL8D1gQzh+EfBpoJy+76M3GDOA+pzhBoInbvR0sZm9A3gJ+Iy71/cyj4hIN8/W72Z3aydnL5ocdSkiIkfkSM7JezV32Mx+BOwFzg7vi9flOTO7H3gU+CRw7WAK7UVvP617XgDyX8C/u3uHmV1LEEbPftOKzK4BrgGYPXtAd4QRkSL36PpGEjHjzGMmRl2KiMgRycct3N8P3Ncj4AHg7hngl8DFeWinpwZgVs7wTOD1Hu03uXtHOPgT4OTeVuTuP3b3pe6+dNIk3Q9LRODRdY2cMqeGcWXJqEsRETki+Qh55cD0fqbPAIbioY+rgQVmNtfMSoBLgQdyZzCzaTmDFwLrhqAOESkyDc2tbNixj2WLdahWRApXPh5r9hjwaTN7zN1/nzvBzM4jOC9vZR7a6cbd02b2SeB3BLdQudXdXzSzrwJr3P2BsK4LgTSwC7gy33WISPFZub4RgLN0Pp6IFLB8hLzrgD8CD5rZBoILHBxYGHY7wnnyzt1/C/y2x7h/zHn9BeALQ9G2iBSvR9c3ctSECuZNrIy6FBGRIzbow7XuvhlYAnyb4GKI84Dzw9ffBk4I5xERGfHaUhme3NzE2YsmY6Zbp4hI4crHnjzcvQlYEXYiIgXryc1v0JHO6tYpIlLw8nHhhYhI0fjD+kYqSuKcOrcm6lJERAZFIU9EJOTurFzfyJkLJlKaiEddjojIoCjkiYiE1m3bx7Y97TpUKyJFQSFPRCS0ckN465SFCnkiUvgU8kREQn9Yt4MlM6qYPG4o7t8uIjK8FPJERIBdLSmerd+tGyCLSNFQyBMRAe5e/RrusEwhT0SKhEKeiIx6L2zdw80Pv8R5x07h+JlVUZcjIpIXCnkiMqq1pTL87T1/pqayhBvff7yeciEiRSMvT7wQESlU//zgOjY17ueOq0+lurIk6nJERPJGe/JEZNRaub6Rnz/1Kh99+1zOXDAp6nJERPJKIU9ERqU39new4r6/sGjqWFacvzDqckRE8k6Ha0Vk1HF3Pn/fc+xtT/OLj71VjzATkaKkPXkiMqpkss43HtrAo+sb+eK7F3HMlLFRlyQiMiS0J09ERo09rZ1cd8+zPLZhJx86dRZXnD4n6pJERIaMQp6IjArrt+/l43es5fXdbdzw18fx4VNn63YpIlLUFPJEpOj95rnXWfHL5xhbluDua97GyUdVR12SiMiQU8gTkaK1bU8bNz/8EveuaWDpUdX88LKTmDyuLOqyRESGhUKeiBSdpv0d/Ntjm/n506/i7lzzjnl87q8WUpLQtWYiMnoo5IlI0djX3sktf3yZW/64hbbODBefNJPrzlnAzOqKqEsTERl2CnkiUtDcnbWvNnPP6nr++/lttKYyXLBkKp899xiOnqzbo4jI6KWQJyIFqXFvO//x7FbuWVPPlp0tVJbEufCE6fzvtx7FcTOqoi5PRCRyCnkiUhCyWeeF1/fw6PpGHl3fyHMNewA4ZU41n3jnfC5YMo3KUn2kiYh00SeiiIxI7s7mnS2sfXUXq19p5vGXdrJzXwdmcNLsalact5Dzj5vK/Eljoi5VRGREUsgTkci5Ozv3dVC3bS912/byp1ebWftqM82tnQBUVyQ54+iJLFs8mXceM5maypKIKxYRGfkU8kRk2Lg7O/d38PLOFl5+o4XNO/ezbts+1m3bS1NL6sB88yZVcm7tFJYeVcPJc6qZN7FST6cQETlMCnkikjfuzr6ONNt2t7N1dysNzW00NLextbmN13a18sobLezrSB+YvyQR45gpYzh70WRqp49j8bRxLJ46jqqKZIR/hYhIcVDIE5FDau/MsKslxa6WFDv3d9C0P8Ub+zt4Y18HO/d3sH1PO437gn5bZ6bbsiWJGDPHlzOjupz3nzSDuRMrmTtpDPMmVjJ9fDnxmPbQiYgMBYU8kVEgm3VaUmlaOjLsa+9kb3uafe2d7GtPs689zZ62zpwuxZ62Tna3dtLckqK5tfNNwa1LWTLGpLGlTB1XxrHTx7Fs0WSmjCtjalUZM6rLmVldzsTKUmIKciIiw04hT2QEyGadjnSW9s7Mm/ptYdcR9ltTGdrCrrXz4OuWVJrWVIaWjoP9/R1pWjrStKR6D2m5SuIxxpUnqSpPUFWeZOq4MhZNHUdNZZLxFSXUVJZQXVHCpLElTBxTysQxpbpliYjICKZPaBkVslmnM5ulM+OkM2E/myWdcTrD4c5MlnS2azgcl86SzmZJha+7pnWkDy6TSh8clwqHO9JZUukMqXSW9s4s7ekM7Z1ZOsLw1hFOS4XtZLJ+RH9XMm6UJ+NUlCSoKI1TWZKgoiTOpLGlzJ5QwdjSBJWlCcaEXWVpgrFlXV2ScWG/qjxJWTKmixtERIpIQYc8Mzsf+C4QB25x9xt7TC8Ffg6cDDQBl7j7K8NdZ1Tcg/CQzvbsZ8mEr7t17qQzTtaDebPZ7v2MO5lM0D8wLaeN3HHpzMF1ZrLhsDuZbBCkMpmcablt5Ax3ZrJvqjud6T5fOmeedBjSur0Ow9wRZqgBiceMZNwoiccoScQpTcQoScTC4RiliRiVJQkmVMYoTcYpS8QpTR6cHiwbpyQRoywZoywZrKMsGT8wXJ6MU14SLFteEnbJOMl4bOj+MBERKWgFG/LMLA78ADgXaABWm9kD7l6XM9vVQLO7H21mlwLfAC4Z/mr715bK8PSWJuqbW2lNBYfjWjvStHZmaE9lDu4FyumnMx7uBcrSmT64Fyo36Bzp3qGhlIgZsZiRiBnxsEsc6MeIxSBuRiIeOzg+HiNukAhDUXnMSMZjxCwIV93mjRmJeLCuRLhsMm5hEDs4riRnuWQ8FkyLB+vrGu56nYgdDG3JRDi9a1wipgsHRERkRCrYkAecCmxy9y0AZnY3cBGQG/IuAr4Svr4P+L6ZmbtHnn5ea2pl5Ybg8UxPbWkilc52m15REqeiJB7uzQn36CSC/riyRLgHKAweBwJKLAxFXcEpRjJmxHOGu8JSV8CKW/ewFevRz51+YJoFbcQtGNc1T9e4A+sOg9uB5Q0dDhQRERkmhRzyZgD1OcMNwGl9zePuaTPbA0wA3hiWCnvRkc5w/m2nkSVF0qEE47g5RkUsRtJidGWg3CjUMxY5kM4EXVvOuJ4GM643fc3nvUwZTDsDbXuwbQx10recfizsB6/twLhgvHWb3r2zA+vobVrv44M26NZG93ZiQLxHHbFw+oHOjXg4XzxnmQSQ4OC0ruEEkMRIYCTD1yUYybArAcrCcaXYgRqleGVwOnK6FE4nhP2Dw2k87KATJxOOy4TrSIf9LJABsuG0rIX9A50feO3dXh8c5znzEy7j4Txv7vqa9ubx5NSQ20Zf64dDfwb19tnaFxvgv6fe5jqcf4mDWX6gy/b2twxFjYPdFrmc4L3Z9T5Phe/5mSVV/OzDjx/hWgevkENeb/8vev6LGMg8mNk1wDUAs2fPHnxl/ShNxDnBq4l5M5aIkY4dfFMc+vrH/g3kDWsDnK+vcX21PNB/lPn8R5WP9Q1VzMj9EO/tC6DrSyD4gsp2+zLq+hKB3r94OLC8v6mdbM6y3b/curedofuX4Ju+IPt6o+RRiUMpRjkxKjDKMSqIUY4xhhhjiDEWY4wHr8eHXQ1xxhOjmjilCopDwnHacHaTpZkMzWRpJsvesNtvWfaTZR9ZWsJ5W8nSFr5uI0s7TnoY/veYc+BHSNcPqDgHf+zk/rDp+qTKHQdv/qFFj/nJmRbLmafnD63cGmIEX7AW/td9ue6v+/37BrANBvNDfSh+GA9up8PAKxrszo2e4wf7wz8BVBCjNPwxW4IxNVkzyLUOvqZC1QDMyhmeCbzexzwNZpYAqoBdPVfk7j8GfgywdOnSIT+U+52PPTzUTYgMiruT8QxZz5LxDJlsJujnvE5n0wf6XV1ntvNAl86mSWVSdGY7SWVSpLIpOtIdtGfaSWVStGfaaU8HXWu6lbZ0G23pNpo7W2nobGFfah/7UvtIZVN91jk2OZYplVOYUjmFqRVTmVI5hZljZrKgegFzq+ZSGi8dxq1WWFo7W9m8ezObdm9i6/6t7GjdwfaW7exo3cGOlh20plv7XLY8Uc6Y5BjGlIxhTHIMFYkKqhLllCfLqUhUUJYooyxeRmmilNJ49y4ZS5KMJymJlZCMJ0nGkiRiiaCzRLfhuMWJx+Ld+jGLdevrFBCRvhVyyFsNLDCzucBW4FLgwz3meQC4AngK+ADw6Eg4H09kpDMzEjYyPh5SmRT7UvvYk9rD7vbdNLc309zRTHN7MzvbdrKjZQfbW7ezvmk9Te1NB5aLWYzZY2ezoHoBtRNqedfMdzF//PxRGQrcnbqmOh5veJx1TevYuHsjW/dvPTA9ZjEmlk9kauVUjh5/NGdMP4OJ5ROpKathfOl4qsuqqS6rpqqkisqSSpIxPXZOpBBYIWceM7sA+A7B3vlb3f0GM/sqsMbdHzCzMuAO4ESCPXiXdl2o0ZelS5f6mjVrhrp0ERkCqUyK+n31bNy9kU3Nm9i8ezMbd2/k1b2vAjBr7CzOmnUWZ806ixMnn0g8Fo+44qGTyqRYvX01K+tXsrJ+JY2tjcQsxryqeRw9/uigqw76M8bMIBEbGaFeRA6Pma1196W9TivkkDcUFPJEik9jayOP1T/GyvqVrNq2is5sJ5MrJrNi6QrOm3NeUe3dy3qW+166j+89+z32dOyhPFHOGdPP4KzZZ/GOGe9gfNn4qEsUkTxSyDsMCnkixa2ls4Untj7BrS/cyotNL3L69NP50mlfYva4ob3oajis37Werz31NZ574zlOnXoql9dezmnTTqMsURZ1aSIyRBTyDoNCnsjokMlmuPele/nen75HKpPiY8d/jOXHLackXhJ1aYetpbOFH/z5B9y17i7Gl45nxSkreM/c9xTVHkoR6Z1C3mFQyBMZXRpbG7lp9U089MpDzK2ay23n30ZNWbS3PTgc9Xvruep3V9HY2sgHj/kgnz7p01SVVkVdlogMk/5Cnh58KSKj2uSKydz0zpv44bIfUr+vnhtX3XjohUaIrGf58pNfprWzlTsuuIMvv+3LCngicoBCnogIcObMM/n48R/nwVce5NHXHo26nAG5d8O9rN2xlhWnrOCESSdEXY6IjDAKeSIioauXXM3C6oV8/emvs6djT9Tl9Gvr/q18e+23OX366bzv6PdFXY6IjEAKeSIioWQsyVfP+Cq72nfxrTXfirqcPrk71z95PYbxT2/7J11gISK9UsgTEclRO6GWq467il9v+jVPbH0i6nJ69etNv+apbU/x2ZM/y/Qx06MuR0RGKIU8EZEerj3hWuZWzeX6p66npbMl6nK62dGyg5tW38TSKUv54MIPRl2OiIxgCnkiIj2Uxkv56ulfZXvLdm5ee3PU5Rzg7nzt6a/Rme3k+tOvJ2b6CBeRvukTQkSkF2+Z/BYuW3wZ92y4hw27NkRdDgBPvP4Ejzc8zqdO/FRRPKFDRIaWQp6ISB+uOPYKANbuWBtxJYFntj9DIpbg0kWXRl2KiBQAhTwRkT5MqZhCTVkNdU11UZcCwLqmdSwYv6AgH70mIsNPIU9EpA9mRu2EWup2RR/y3J26pjpqJ9RGXYqIFAiFPBGRftROqGXL7i20p9sjrWPr/q3sTe1VyBORAVPIExHpR+2EWjKe4aXmlyKto+uQ8bETjo20DhEpHAp5IiL9qK0J9pxFfV7eul3rSFiCo6uPjrQOESkcCnkiIv2YWjmV6tLqyENeXVMdR1cfTWm8NNI6RKRwKOSJiPSj6+KLdbvWRVaDLroQkSOhkCcicgiLJyxmU/MmOjIdkbS/rWUbuzt2Hzh0LCIyEAp5IiKHUDuhlrSn2di8MZL2uw4Va0+eiBwOhTwRkUPoCldRnZdX11RH3OIsqF4QSfsiUpgU8kREDmF65XTGlYyLLuTtqmP++PmUJcoiaV9ECpNCnojIIRx48kUEIc/dWde0TodqReSwKeSJiAxA7YRaNu7eSCqTGtZ2d7TuYFf7LoU8ETlsCnkiIgOweMJi0tk0m3ZvGtZ2X2x6MWi/ZvGwtisihU8hT0RkAI6tCR4nNtyHbNc1rSNmMRbWLBzWdkWk8CnkiYgMwMyxMxlbMnbYQ15dUx3zquZRnigf1nZFpPAp5ImIDICZUVtTy7qm4XvyhZ50ISKDoZAnIjJAiycs5qXml+jMdg5Le42tjTS1NynkicgRUcgTERmg2gm1pLIpNu/ePCztdT0vVyFPRI6EQp6IyAB1ha3hOmRb11QXXHRRrYsuROTwKeSJiAzQrLGzqExWHrityVCra6pj7ri5VCQrhqU9ESkuCnkiIgMUsxiLaxYP6548HaoVkSNVkCHPzGrM7GEz2xj2q/uYL2Nmfw67B4a7ThEpPrUTatnQvIF0Nj2k7exs3cnOtp0snqCbIIvIkSnIkAf8PfAHd18A/CEc7k2bu78l7C4cvvJEpFgtnrCYjkwHW/ZsGdJ2dNGFiAxWoYa8i4Dbw9e3A++LsBYRGUWOnRA8+WLN9jVD2s6qbauIWYxFNYuGtB0RKV6FGvKmuPs2gLA/uY/5ysxsjZk9bWZ9BkEzuyacb83OnTuHol4RKRJzxs2hdkItv1j/CzLZzJC0sTe1l/s33s95R51HZbJySNoQkeI3YkOemT1iZi/00l10GKuZ7e5LgQ8D3zGz+b3N5O4/dvel7r500qRJealfRIqTmbH8uOW8uvdVVtavHJI27t1wLy2dLSxfsnxI1i8io0Mi6gL64u7n9DXNzHaY2TR332Zm04DGPtbxetjfYmaPAScCw3MXUxEpWufMPodZY2dx6wu3smz2Mswsb+tuT7dzZ92dnDH9DB2qFZFBGbF78g7hAeCK8PUVwH/2nMHMqs2sNHw9ETgDGN4ni4tIUYrH4lx57JU8/8bzrNmR33PzHtj8AE3tTVy95Oq8rldERp9CDXk3Auea2Ubg3HAYM1tqZreE8ywG1pjZX4CVwI3urpAnInlx4fwLqSmr4dYXbs3bOtPZND974WcsmbiEpVOW5m29IjI6jdjDtf1x9yZgWS/j1wAfDV8/CSwZ5tJEZJQoS5Rx2eLL+Ndn/5UNuzawsGbwjx575NVHaNjfwOeWfi6vh4BFZHQq1D15IiKRu2ThJZQnyrntxdsGvS5356cv/JQ54+Zw1uyzBl+ciIx6CnkiIkeoqrSKixdczIMvP8jr+18f1LqefP1J1u9az/LjlhMzfTSLyODpk0REZBAur70cw7ij7o5BrefWF25lcsVk3jPvPXmqTERGO4U8EZFBmDZmGu+e+27u33g/ezr2HNE6ntv5HM9sf4bLay+nJF6S5wpFZLRSyBMRGaQrj7uStnQb1zx8DQ+98hDpbHpAyzW1NfHdP32Xjz/8ccaVjOMDx3xgiCsVkdGkIK+uFREZSY6pPoYb3n4DP/rLj1jx+AqmVk7lQ4s+xMULLqaqtOpN87++/3Vue/E2frXxV6QyKc456hw+ccIn9AgzEckrc/eoaxhRli5d6mvWDO2Dx0WkOGWyGf6n4X+4c92dPLP9GcoT5SwYvwAAJ/iszXqWDbs2APDe+e9l+XHLmVs1N7KaRaSwmdna8BGub56mkNedQp6I5MP6Xeu5e/3dbG/ZfnBkeOu7+VXz+UjtR5haOTWa4kSkaPQX8nS4VkRkCCyqWcRXTv9K1GWIyCimCy9EREREipBCnoiIiEgRUsgTERERKUIKeSIiIiJFSCFPREREpAgp5ImIiIgUIYU8ERERkSKkkCciIiJShBTyRERERIqQQp6IiIhIEVLIExERESlCCnkiIiIiRUghT0RERKQImbtHXcOIYmY7gVejriNCE4E3oi5iBNP26Z+2T9+0bfqn7dM/bZ++jfZtc5S7T+ptgkKedGNma9x9adR1jFTaPv3T9umbtk3/tH36p+3TN22bvulwrYiIiEgRUsgTERERKUIKedLTj6MuYITT9umftk/ftG36p+3TP22fvmnb9EHn5ImIiIgUIe3JExERESlCCnlygJl9ysw2mNmLZvbNnPFfMLNN4bTzoqwxamb2OTNzM5sYDpuZfS/cPs+Z2UlR1zjczOwmM1sf/v3/YWbjc6bpvQOY2fnhNthkZn8fdT1RM7NZZrbSzNaFnzfXheNrzOxhM9sY9qujrjUqZhY3s2fN7Dfh8FwzWxVum3vMrCTqGqNiZuPN7L7wc2edmb1N753eKeQJAGZ2FnARcLy7Hwt8KxxfC1wKHAucD/zQzOKRFRohM5sFnAu8ljP63cCCsLsG+LcISovaw8Bx7n488BLwBdB7p0v4N/+A4L1SC3wo3DajWRr4v+6+GHgr8DfhNvl74A/uvgD4Qzg8Wl0HrMsZ/gZwc7htmoGrI6lqZPgu8JC7LwJOINhOeu/0QiFPunwCuNHdOwDcvTEcfxFwt7t3uPvLwCbg1IhqjNrNwOeB3BNZLwJ+7oGngfFmNi2S6iLi7r9393Q4+DQwM3yt907gVGCTu29x9xRwN8G2GbXcfZu7/yl8vY/gS3oGwXa5PZztduB90VQYLTObCbwHuCUcNuBs4L5wltG8bcYB7wB+CuDuKXffjd47vVLIky7HAGeGhwMeN7NTwvEzgPqc+RrCcaOKmV0IbHX3v/SYpO3T3XLgwfC1tk1A26EfZjYHOBFYBUxx920QBEFgcnSVReo7BD8os+HwBGB3zo+p0fwemgfsBH4WHs6+xcwq0XunV4moC5DhY2aPAFN7mfQlgvdCNcGhk1OAe81sHmC9zF+Ul2QfYvt8Efir3hbrZVzRbZ/+to27/2c4z5cIDsPd1bVYL/MX3bYZAG2HPpjZGOB+4G/dfW+ww2p0M7P3Ao3uvtbM3tU1updZR+t7KAGcBHzK3VeZ2XfRodk+KeSNIu5+Tl/TzOwTwK88uKfOM2aWJXgeYAMwK2fDirygAAAFpElEQVTWmcDrQ1poRPraPma2BJgL/CX8EpoJ/MnMTmWUbJ/+3jsAZnYF8F5gmR+8L9Oo2DYDoO3QCzNLEgS8u9z9V+HoHWY2zd23hac9NPa9hqJ1BnChmV0AlAHjCPbsjTezRLg3bzS/hxqABndfFQ7fRxDy9N7phQ7XSpdfE5zzgZkdA5QQPPD5AeBSMys1s7kEFxg8E1mVEXD35919srvPcfc5BB8yJ7n7doLtc3l4le1bgT1dhwxGCzM7H/g74EJ3b82ZNOrfO6HVwILw6sgSgotRHoi4pkiF55j9FFjn7t/OmfQAcEX4+grgP4e7tqi5+xfcfWb4WXMp8Ki7XwasBD4QzjYqtw1A+Llbb2YLw1HLgDr03umV9uRJl1uBW83sBSAFXBHukXnRzO4l+EeUBv7G3TMR1jnS/Ba4gOCiglbgqmjLicT3gVLg4XBP59Pufq27670DuHvazD4J/A6IA7e6+4sRlxW1M4CPAM+b2Z/DcV8EbiQ4VeRqgqvYPxhRfSPR3wF3m9nXgWcJLzwYpT4F3BX+aNpC8LkbQ++dN9ETL0RERESKkA7XioiIiBQhhTwRERGRIqSQJyIiIlKEFPJEREREipBCnoiIiEgRUsgTERERKUIKeSIiIiJFSCFPRGQEMbPSqGsQkeKgkCciMgKY2VvMbDPQamZ3h892FRE5Ygp5IiIjw4+AVQTPK30r8NFoyxGRQqdn14qIjAwLgIvcfbuZzQFOjLYcESl02pMnIjLEzOxdZtZpZnP7me0x4P1mNh44H6jrsY7LzGy3mU0YwlJFpIiYu0ddg4hIUTOzVUCdu1/VzzynA0+Eg48A73H3VM70OLAe+C93/+xQ1isixUF78kREhpCZLQNOBX5wiFlXAK8BGWBdbsADcPcMwXl714Z7+0RE+qWQJyIytD4GbHT3NX3NYGZvA94H/AOwCTi+j1nvBsqAy/JdpIgUH4U8EZE+mFmJmT1rZtvNbFKPaf9tZm1mVtvP8kngfwG/P0RT3wT+DNwJvAgs6W0md28gOFfv4sP4M0RklFLIExHpQ3jI9DKgCvhJ13gz+z/ABcDn3b2uj8UBTgYqgNV9zWBmFwFvB/7Og5OkXwRqzGxGH4usAt6q++iJyKEo5ImI9CMMcZ8HLjKzj5rZQuAm4HfA9w+x+OKwv6W3ieHFFP8MPOLuXXv7Xgz7fR2y3QKUA3MG9AeIyKilkCcicmjfBx4CvgP8EmgFrvJD356g6xBvcx/TlwOLCEJklxfCfl8hrynsTzxE2yIyyulmyCIih+DubmZXAZsJzpf7gLtvG8w6zawC+ApBeGwOb4AMkAKy9HFeHvpxLiIDpJAnIjIw7yQ4vw7gBOD+ASyzM+xX9zLtM8D0sHu5l+l97cnrWtcbA2hfREYxhTwRkUMws5nAvxHcrHgL8EUz+627P32IRdeF/fnAH3PWN5HgEO0vCA7/9vRp4O1mlnT3zh7T5gNtwCuH+3eIyOiikCci0g8zM+B2gs/LjxCcE3cmcKeZvcXd9/ez+FqC8/dOAW7LGf9lgvvdfd7dt/bS5knAWQTn6z3fY/JpwKpewp+ISDc6t0NEpH+fBc4GrnP3l919L0HYmwvc3N+CYRD7DfBXXePMbB5wLXBbbwEvtCnsdztka2azCK7YHcihYhEZ5RTyRET6YGZLgBuAX7n7z7rGu/v/A74BfNTMLjzEan4CHG1mS8PhGwg+e2/sZ5leQx5wCdAB3DWwv0BERjM79B0ARETkSIWHe58BXnD3qwaxnjiwHviNu38mX/WJSPFSyBMRGWJmdhbBo82OcfferqQdyDo+THDxxzx3bzrU/CIiCnkiIiIiRUjn5ImIiIgUIYU8ERERkSKkkCciIiJShBTyRERERIqQQp6IiIhIEVLIExERESlCCnkiIiIiRUghT0RERKQI/X95w4uPMAkBTAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pnsolution.check_energies()\n",
    "pnsolution.disregistry_plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.3. Repeat minimization\n",
    "\n",
    "The disregistry found after relaxing will replace the initial values in the class.  Subsequent calls to solve() will then use the previous run's final results as the initial starting place.  Doing repeated solves is recommended as it can help further refine the results as the minimization algorithms (especially Powell) benefit from restarts.\n",
    "\n",
    "Also, note that you can change the various options and settings for subsequent runs.  This can save time if you wish to see relaxed disregistries for multiple different settings, like different stress states, as the two relaxed disregistry states are likely closer to each other than the arbitrary initial state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 1\n",
      "         Function evaluations: 3952\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 1\n",
      "         Function evaluations: 3839\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 1\n",
      "         Function evaluations: 3922\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 1\n",
      "         Function evaluations: 4132\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 1\n",
      "         Function evaluations: 4467\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 1\n",
      "         Function evaluations: 4573\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 1\n",
      "         Function evaluations: 4813\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 1\n",
      "         Function evaluations: 4732\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 1\n",
      "         Function evaluations: 4861\n",
      "Optimization terminated successfully.\n",
      "         Current function value: 2.213886\n",
      "         Iterations: 1\n",
      "         Function evaluations: 4826\n"
     ]
    }
   ],
   "source": [
    "for i in range(10):\n",
    "    pnsolution.solve()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.4. Check results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dislocation energy terms in eV/Å:\n",
      "Misfit energy =     0.15770922556516204\n",
      "Elastic energy =    -0.25613380502107364\n",
      "Long-range energy = 2.312310391118972\n",
      "Stress energy =     -0.0\n",
      "Surface energy =    0.0\n",
      "Nonlocal energy =   0.0\n",
      "Total energy =      2.21388581166306\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pnsolution.check_energies()\n",
    "pnsolution.disregistry_plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 846x415.692 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pnsolution.E_gsf_surface_plot(a1vect=plotting_a1vect, a2vect=plotting_a2vect, energyperarea_unit='mJ/m^2')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 846x415.692 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pnsolution.E_gsf_surface_plot(a1vect=[ 0.5, 0., -0.5], a2vect=[0.0,0.5,-0.5], energyperarea_unit='mJ/m^2')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pnsolution.E_gsf_vs_x_plot(energyperarea_unit='mJ/m^2')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7. Save and load results\n",
    "\n",
    "The model() method outputs a data model containing all input settings and the current disregistry vectors.  This can then be saved to JSON or XML and stored for later.  The content can then be read in during SDVPN initialization using the model parameter or using the load() method of an already created SDVPN object.\n",
    "\n",
    "Parameters\n",
    "\n",
    "- __length_unit, energyperarea_unit, and pressure_unit__ all control the units the values are saved as.  Will automatically be reinterpreted when loaded.\n",
    "- __include_gamma__ Flag indicating if the gamma surface data is to be included.  Default value is False."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate model\n",
    "model = pnsolution.model(include_gamma=True)\n",
    "\n",
    "# Save as JSON content\n",
    "with open('sdvpn_run_1.json', 'w', encoding='UTF-8') as f:\n",
    "    model.json(fp=f, ensure_ascii=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dislocation energy terms in eV/Å:\n",
      "Misfit energy =     0.15770922556516204\n",
      "Elastic energy =    -0.25613380502107364\n",
      "Long-range energy = 2.312310391118972\n",
      "Stress energy =     -0.0\n",
      "Surface energy =    0.0\n",
      "Nonlocal energy =   0.0\n",
      "Total energy =      2.21388581166306\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load model back in and show that it is in the previous state\n",
    "pnrestart = am.defect.SDVPN(model='sdvpn_run_1.json')\n",
    "pnrestart.check_energies()\n",
    "pnrestart.disregistry_plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8. Peierls stress estimates\n",
    "\n",
    "The SDVPN method can provide an extremely rough estimate of the Peierls stress (typically within 10x of atomistic results).  This can be done by \n",
    "\n",
    "1. Relaxing the dislocation structure as above.\n",
    "2. Adjust tau to be incrementally larger along the slip plane.\n",
    "3. Relax the structure again at the new tau using the relaxed structure from the previous tau as the initial guess.\n",
    "4. Repeat until the solution fails to converge or the disregistry shows the dislocation line to move a substantial distance.\n",
    "\n",
    "Work is currently being done to study the sensitivity of this method to the calculation parameters. More details and an example will be provided once results are conclusive.  As of right now, tests seem to indicate the following suggestions:\n",
    "\n",
    "- xstep needs to correspond to d, the distance between the periodic Peierls valleys along the slip plane in the crystal.  \n",
    "- The BFGS minimization style seems slightly better at capturing the critical stress than either Powell or CG.\n",
    "- Results with either stress equation appear to give nearly the same critical stresses.\n",
    "- There is some variability in the critical stress depending on the sign of tau.  This can in part be due to elastic effects with the fixed x endpoints, but it does not fully account for this.\n",
    "- Publications claim that including either the surface energy or the nonlocal energy will result in Peierls stress values closer to the direct atomistic values."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Cleanup**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "Path('sdvpn_run_1.json').unlink()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " "
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
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